Generalized cusp in AdS_4 x CP^3 and more one-loop results from semiclassical strings

Abstract

We evaluate the exact one-loop partition function for fundamental strings whose world-surface ends on a cusp at the boundary of AdS_4 and has a "jump" in CP^3. This allows us to extract the stringy prediction for the ABJM generalized cusp anomalous dimension Gamma_{cusp}^{ABJM} (phi,theta) up to NLO in sigma-model perturbation theory. With a similar analysis, we present the exact partition functions for folded closed string solutions moving in the AdS_3 parts of AdS_4 x CP^3 and AdS_3 x S^3 x S^3 x S^1 backgrounds. Results are obtained applying to the string solutions relevant for the AdS_4/CFT_3 and AdS_3/CFT_2 correspondence the tools previously developed for their AdS_5 x S^5 counterparts.

48 pages, 2 figures, version 3, corrected misprints in formulas 2.12, B.86, C.33, added comment on verification of the light-like limit

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Cited by in corpus (36)

• Exact results for the entanglement entropy and the energy radiated by a quark
• On string theory on AdS_3 x S^3 x T^4 with mixed 3-form flux: tree-level S-matrix
• Classical integrability and quantum aspects of the AdS(3) x S(3) x S(3) x S(1) superstring
• New supersymmetric Wilson loops in ABJ(M) theories
• Exact Slope and Interpolating Functions in ABJM Theory
• Quantum corrections to spinning superstrings in AdS_3 x S^3 x M^4: determining the dressing phase
• Worldsheet scattering in AdS(3)/CFT(2)
• Near BMN dynamics of the AdS(3) x S(3) x S(3) x S(1) superstring
• The generalized cusp in ABJ(M) N = 6 Super Chern-Simons theories
• Roadmap on Wilson loops in 3d Chern-Simons-matter theories
• Analytic bootstrap and Witten diagrams for the ABJM Wilson line as defect CFT${}_1$
• Towards the exact Bremsstrahlung function of ABJM theory
• Precision calculation of 1/4-BPS Wilson loops in AdS${}_5\times S^5$
• Perturbative computation of string one-loop corrections to Wilson loop minimal surfaces in $Ad{S}_5\times S^5$
• Strings in AdS_4 x CP^3, Wilson loops in N=6 super Chern-Simons-matter and Bremsstrahlung functions
• Exact Bremsstrahlung functions in ABJM theory
• Macroscopic (and Microscopic) Massless Modes
• Quantum corrections to short folded superstring in AdS_3 x S^3 x M^4
• Semiclassical partition function for strings dual to Wilson loops with small cusps in ABJM
• Worldsheet two- and four-point functions at one loop in AdS(3) / CFT(2)
• Framing and localization in Chern-Simons theories with matter
• One-loop corrections to holographic Wilson loop in AdS4xCP3
• The low energy limit of the AdS(3) x S(3) x M(4) spinning string
• Surprises from the resummation of ladders in the ABJ(M) cusp anomalous dimension
• A matrix model for the latitude Wilson loop in ABJM theory
• One-loop spectroscopy of semiclassically quantized strings: bosonic sector
• Green-Schwarz superstring on the lattice
• Notes on BPS Wilson Loops and the Cusp Anomalous Dimension in ABJM theory
• Interpolating Bremsstrahlung function in ABJM
• Quantum corrections to minimal surfaces with mixed three-form flux
• Perturbations of Pulsating Strings
• Resumming planar diagrams for the N=6 ABJM cusped Wilson loop in light-cone gauge
• Remarks on the geometrical properties of semiclassically quantized strings
• Quantum dispersion relations for the $Ad{S}_4\times C{P}^3$ GKP string
• Worldsheet one-loop energy correction to IIA Giant Magnon
• A note on scattering amplitudes on the moduli space of ABJM